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» Finding Hidden Independent Sets in Interval Graphs
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JGT
2006
95views more  JGT 2006»
14 years 11 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
OL
2010
140views more  OL 2010»
14 years 6 months ago
Approximation algorithms for finding and partitioning unit-disk graphs into co-k-plexes
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
Balabhaskar Balasundaram, Shyam Sundar Chandramoul...
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
15 years 3 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
COMBINATORICA
2008
89views more  COMBINATORICA 2008»
14 years 11 months ago
The stable set polytope of quasi-line graphs
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
15 years 12 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...